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Finding the Third Proportional to 250,517 and 536,505

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Solution

The third proportional to 250,517 and 536,505 is: 1,148,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,517 : 536,505 = 536,505 : x
  2. Step 2: Convert to fraction form
    250,517/536,505 = 536,505/x
  3. Step 3: Cross multiply
    250,517x = 536,505 × 536,505
  4. Step 4: Simplify right side
    250,517x = 287,837,615,025
  5. Step 5: Solve for x
    x = 287,837,615,025/250,517
  6. Step 6: Final answer
    x = 1,148,974.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.